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Dissertations / Theses on the topic 'Semi linear elliptic equations'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

Bouchitte, Guy. "Calcul des variations en cadre non reflexif : representation et relaxation de fonctionnelles integrales sur un espace de mesures, applications en plasticite et homogeneisation." Perpignan, 1987. http://www.theses.fr/1987PERP0033.

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Etude variationnelle de fonctionnelles convexes du type somomega f(x,u(x),du)dx lorsque la croissance de f necessite du travail dans un banach non reflexif. On abordera en particulier les questions relatives a la semi-continuite inferieure, la relaxation, la convergence variationnelle et l'approximation, l'equation d'euler. . . Ayant en vue certaines applications dans le dommaine de la mecanique (plasticite, milieux fissures), on s'interessera principalement au cas ou l'integrande f presente une croissance lineaire par rapport au gradient. Suivant une demarche desormais classique, cela nous am

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2

Oswald, Luc. "Etude de problemes non lineaires avec singularites." Paris 6, 1987. http://www.theses.fr/1987PA066060.

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Cette these est composee de dix articles que nous avons regroupes en deux parties. La premiere partie est constituee par l'etude et la classification des singularites isolees, premierement, d'une equation elliptique avec diffusion, deuxiemement, de l'equation parabolique correspondante. Dans la seconde partie sont etablis des resultats d'existence pour des problemes elliptiques semi-lineaires. Ces problemes sont caracterises respectivement, par une non-linearite singuliere, une condition de neumann degeneree, une non-linearite sous lineaire et, enfin, des exposants de sobolev critiques

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3

Chen, Huyuan. "Fully linear elliptic equations and semilinear fractionnal elliptic equations." Thesis, Tours, 2014. http://www.theses.fr/2014TOUR4001/document.

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Cette thèse est divisée en six parties. La première partie est consacrée à l'étude de propriétés de Hadamard et à l'obtention de théorèmes de Liouville pour des solutions de viscosité d'équations aux dérivées partielles elliptiques complètement non-linéaires avec des termes de gradient,<br>This thesis is divided into six parts. The first part is devoted to prove Hadamard properties and Liouville type theorems for viscosity solutions of fully nonlinear elliptic partial differential equations with gradient term

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4

Spence, Euan Alastair. "Boundary value problems for linear elliptic PDEs." Thesis, University of Cambridge, 2011. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.609476.

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5

Davidson, Bryan Duncan. "Recursive projection for semi-linear partial differential equations." Thesis, University of Bristol, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.294932.

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6

El-Nakla, Jehad A. H. "Finite difference methods for solving mildly nonlinear elliptic partial differential equations." Thesis, Loughborough University, 1987. https://dspace.lboro.ac.uk/2134/10417.

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This thesis is concerned with the solution of large systems of linear algebraic equations in which the matrix of coefficients is sparse. Such systems occur in the numerical solution of elliptic partial differential equations by finite-difference methods. By applying some well-known iterative methods, usually used to solve linear PDE systems, the thesis investigates their applicability to solve a set of four mildly nonlinear test problems. In Chapter 4 we study the basic iterative methods and semiiterative methods for linear systems. In particular, we derive and apply the CS, SOR, SSOR methods

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7

Bennett, G. N. "A semi-linear elliptic problem arising in the theory of superconductivity." Thesis, University of Sussex, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.340827.

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8

Stissi, Santina Chiara. "Ghost-point methods for Elliptic and Hyperbolic Equations." Doctoral thesis, Università di Catania, 2019. http://hdl.handle.net/10761/4104.

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In this thesis we have presented a finite-difference ghost-point method to solve elliptic and hyperbolic equations on arbitrary domains. The equations are discretized on a uniform Cartesian grid. At first we applied the Coco-Russo method, which represents a generalization of the finite-difference method for the elliptic equations on arbitrary domains, at the resolution of the Poisson equation. This method proposes a polynomial interpolation technique to impose boundary conditions and therefore the interpolation error can influence the accuracy order of the method itself. We have proposed line

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9

Tang, Shaowu [Verfasser]. "Multiscale and geometric methods for linear elliptic and parabolic partial differential equations / Shaowu Tang." Bremen : IRC-Library, Information Resource Center der Jacobs University Bremen, 2008. http://d-nb.info/1034787411/34.

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10

MONTANARI, Piera. "Local and Global Existence results for the Characteristic Problem for Linear and Semi-linear Wave Equations." Doctoral thesis, Università degli studi di Ferrara, 2010. http://hdl.handle.net/11392/2389334.

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The thesis concerns the well posedness of the Characteristic Initial Value Problem for the Semilinear Wave Equation, with initial data on a light cone. In the first part of the thesis, an explicit representation formula for the solution of the linear equation is given, extending the results known for the homogeneous equation and the trace on the time axis of the solution. Further, Energy Estimates are derived. In constructing such Estimates one encounters several difficulties due to the presence of a geometrical singularity at the tip of the cone. To manage the construction of the Ene

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11

Pefferly, Robert J. "Finite difference approximations of second order quasi-linear elliptic and hyperbolic stochastic partial differential equations." Thesis, University of Edinburgh, 2001. http://hdl.handle.net/1842/11244.

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This thesis covers topics such as finite difference schemes, mean-square convergence, modelling, and numerical approximations of second order quasi-linear stochastic partial differential equations (SPDE) driven by white noise in less than three space dimensions. The motivation for discussing and expanding these topics lies in their implications in such physical phenomena as signal and information flow, gravitational and electromagnetic fields, large scale weather systems, and macro-computer networks. Chapter 2 delves into the hyperbolic SPDE in one space and one time dimension. This is an impo

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12

Ramirez, Edgardo II. "Finite element methods for parameter identification problem of linear and nonlinear steady-state diffusion equations." Diss., Virginia Tech, 1997. http://hdl.handle.net/10919/28173.

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We study a parameter identification problem for the steady state diffusion equations. In this thesis, we transform this identification problem into a minimization problem by considering an appropriate cost functional and propose a finite element method for the identification of the parameter for the linear and nonlinear partial differential equation. The cost functional involves the classical output least square term, a term approximating the derivative of the piezometric head <I>u(x)</I>, an equation error term plus some regularization terms, which happen to be

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13

Blöthner, Florian [Verfasser]. "Non-Uniform Semi-Discretization of Linear Stochastic Partial Differential Equations in R / Florian Blöthner." München : Verlag Dr. Hut, 2019. http://d-nb.info/1181514207/34.

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14

Kay, David. "The p- and hp- finite element method applied to a class of non-linear elliptic partial differential equations." Thesis, University of Leicester, 1997. http://hdl.handle.net/2381/30510.

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The analysis of the p- and hp-versions of the finite element methods has been studied in much detail for the Hilbert spaces W1,2 (omega). The following work extends the previous approximation theory to that of general Sobolev spaces W1,q(Q), q 1, oo . This extension is essential when considering the use of the p and hp methods to the non-linear a-Laplacian problem. Firstly, approximation theoretic results are obtained for approximation using continuous piecewise polynomials of degree p on meshes of triangular and quadrilateral elements. Estimates for the rate of convergence in Sobolev spaces W

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15

Rakesh, Arora. "Fine properties of solutions for quasi-linear elliptic and parabolic equations with non-local and non-standard growth." Thesis, Pau, 2020. http://www.theses.fr/2020PAUU3021.

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Dans cette thèse, nous étudions les propriétés fines des solutions d'équations elliptiques et paraboliques quasi-linéaires impliquant une croissance non locale et non standard. Nous nous sommes concentrés sur trois différents types d’équations aux dérivées partielles (EDP).Dans un premier temps, nous étudions les propriétés qualitatives des solutions faibles et fortes d’équations d'évolution comportant des termes à croissance non-standard. La motivation de l'étude de ces types d'équations réside dans la modélisation de caractéristiques anisotropes se produisant dans les modèles de fluides élec

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16

Zhao, Huaizhong. "The stochastic elementary formula method and approximate travelling waves for semi-linear reaction diffusion equations." Thesis, University of Warwick, 1994. http://wrap.warwick.ac.uk/4236/.

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In this thesis we consider approximate travelling wave solutions for stochastic and generalised KPP equations and systems by using the stochastic elementary formula method of Elworthy and Truman. We begin with the semi-classical analysis for generalised KPP equations. With a so-called "late caustic" assumption we prove that the global wave front is given by the Hamilton Jacobi function. We prove a Huygens principle on complete Riemannian manifolds without cut locus, with some bounds on their volume elements, in particular Cartan-Hadamard manifolds. Based on the semiclassical analysis we then c

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17

Meyer, John Christopher. "Theoretical aspects of the Cauchy problem for non-Lipschitz semi-linear parabolic partial differential equations." Thesis, University of Birmingham, 2013. http://etheses.bham.ac.uk//id/eprint/4222/.

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The aim of this thesis is to provide a generic approach to the study of semi-linear parabolic partial differential equations when the nonlinearity fails to be Lipschitz continuous, but is in the class of Hӧlder continuous functions or the class of upper Lipschitz continuous functions. New results are obtained concerning the well-posedness (in the sense of Hadamard) of the initial value problem, namely, uniqueness and conditional continuous dependence results for upper Lipschitz continuous nonlinearities, and an existence result for Hӧlder continuous nonlinearities. To obtain these results, two

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18

Russell, Brandon C. "HOMOGENIZATION IN PERFORATED DOMAINS AND WITH SOFT INCLUSIONS." UKnowledge, 2018. https://uknowledge.uky.edu/math_etds/55.

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In this dissertation, we first provide a short introduction to qualitative homogenization of elliptic equations and systems. We collect relevant and known results regarding elliptic equations and systems with rapidly oscillating, periodic coefficients, which is the classical setting in homogenization of elliptic equations and systems. We extend several classical results to the so called case of perforated domains and consider materials reinforced with soft inclusions. We establish quantitative H1-convergence rates in both settings, and as a result deduce large-scale Lipschitz estimates and Lio

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19

Chow, Tanya L. M., of Western Sydney Macarthur University, and Faculty of Business and Technology. "Systems of partial differential equations and group methods." THESIS_FBT_XXX_Chow_T.xml, 1996. http://handle.uws.edu.au:8081/1959.7/43.

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This thesis is concerned with the derivation of similarity solutions for one-dimensional coupled systems of reaction - diffusion equations, a semi-linear system and a one-dimensional tripled system. The first area of research in this thesis involves a coupled system of diffusion equations for the existence of two distinct families of diffusion paths. Constructing one-parameter transformation groups preserving the invariance of this system of equations enables similarity solutions for this coupled system to be derived via the classical and non-classical procedures. This system of equation is th

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20

Dao, Tuan Anh. "Global in time existence of Sobolev solutions to semi-linear damped sigma-evolution equations in L^q scales." TU Bergakademie Freiberg, 2020. https://tubaf.qucosa.de/id/qucosa%3A71649.

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The main goal of this thesis is to prove the global (in time) existence of small data Sobolev solutions to semi-linear damped σ-evolution equations from suitable function spaces basing on L^q spaces by mixing additional L^m regularity for the data on the basis of L^q-L^q estimates for solutions, with q∈(1,∞) and m∈[1,q), to the corresponding linear models. To establish desired results, we would like to apply the theory of modified Bessel functions, Faà di Bruno's formula and Mikhlin-Hörmander multiplier theorem in the treatment of linear problems. In addition, some of modern tools from Harmo

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21

Borges, Júlia Silva Silveira. "Estudo de uma classe de equações elípticas via métodos variacionais e topológicos." Universidade de São Paulo, 2012. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-26062012-164643/.

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Alguns problemas elípticos assintoticamente lineares são considerados e é provada a existência de solução. Os principais resultados são estabelecidos de dois modos distintos e as provas são baseadas em resultados clássicos da teoria de pontos críticos, a saber: minimização, princípio variacional de Ekeland, grau topológico, teorema do ponto de sela e o teorema do passo da montanha<br>Some asymptotically linear elliptic problems are considered and solutions are proved to exist. The main results are proved in two different ways. The proofs rely on some classical results in Critical Point Theory

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22

Jonsson, Karl. "Two Problems in non-linear PDE’s with Phase Transitions." Licentiate thesis, KTH, Matematik (Avd.), 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-223562.

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This thesis is in the field of non-linear partial differential equations (PDE), focusing on problems which show some type of phase-transition. A single phase Hele-Shaw flow models a Newtoninan fluid which is being injected in the space between two narrowly separated parallel planes. The time evolution of the space that the fluid occupies can be modelled by a semi-linear PDE. This is a problem within the field of free boundary problems. In the multi-phase problem we consider the time-evolution of a system of phases which interact according to the principle that the joint boundary which emerges

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23

CARAFFA, BERNARD Daniela. "Equations aux dérivées partielles elliptiques du quatrième ordre avec exposants critiques de Sobolev sur les variétés riemanniennes avec et sans bord." Phd thesis, Université Pierre et Marie Curie - Paris VI, 2003. http://tel.archives-ouvertes.fr/tel-00003179.

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L'objet de cette thèse est l'étude, sur les variétés riemanniennes compactes $(V_n,g)$ de dimension $n>4$, de l'équation aux dérivées partielles elliptique de quatrième ordre $$(E)\; \Delta^2u+\nabla [a(x)\nabla u] +h(x)u= f(x)|u|^(N-2)u$$ où $a$, $h$, $f$ sont fonction $C^\infty $, avec $f(x)$ fonction constante ou partout positive et $N=(2n\over((n-4)))$ est l'exposant critique. En utilisant la méthode variationnelle on prouve dans le théorème principal que l'équation $(E)$ admet une solution $C^((5,\alpha))(V)$ $0<\alpha<1$ non nulle si une certaine condition qui dépend de la meilleure cons

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24

Chow, Tanya L. M. "Systems of partial differential equations and group methods." Thesis, [Campbelltown, N.S.W. : The Author], 1996. http://handle.uws.edu.au:8081/1959.7/43.

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This thesis is concerned with the derivation of similarity solutions for one-dimensional coupled systems of reaction - diffusion equations, a semi-linear system and a one-dimensional tripled system. The first area of research in this thesis involves a coupled system of diffusion equations for the existence of two distinct families of diffusion paths. Constructing one-parameter transformation groups preserving the invariance of this system of equations enables similarity solutions for this coupled system to be derived via the classical and non-classical procedures. This system of equation is th

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25

Liu, Xuan. "Some contribution to analysis and stochastic analysis." Thesis, University of Oxford, 2018. http://ora.ox.ac.uk/objects/uuid:485474c0-2501-4ef0-a0bc-492e5c6c9d62.

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The dissertation consists of two parts. The first part (Chapter 1 to 4) is on some contributions to the development of a non-linear analysis on the quintessential fractal set Sierpinski gasket and its probabilistic interpretation. The second part (Chapter 5) is on the asymptotic tail decays for suprema of stochastic processes satisfying certain conditional increment controls. Chapters 1, 2 and 3 are devoted to the establishment of a theory of backward problems for non-linear stochastic differential equations on the gasket, and to derive a probabilistic representation to some parabolic type par

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26

Aguiar, Ademir Alves. "Análise semi-local do método de Gauss-Newton sob uma condição majorante." Universidade Federal de Goiás, 2014. http://repositorio.bc.ufg.br/tede/handle/tede/4251.

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Submitted by Luciana Ferreira (lucgeral@gmail.com) on 2015-03-05T14:28:50Z No. of bitstreams: 2 Dissertação - Ademir Alves Aguiar - 2014.pdf: 1975016 bytes, checksum: 31320b5840b8b149afedc97d0e02b49b (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5)<br>Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2015-03-06T10:38:03Z (GMT) No. of bitstreams: 2 Dissertação - Ademir Alves Aguiar - 2014.pdf: 1975016 bytes, checksum: 31320b5840b8b149afedc97d0e02b49b (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5)<br>Made

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Mtiraoui, Ahmed. "I. Etude des EDDSRs surlinéaires II. Contrôle des EDSPRs couplées." Thesis, Toulon, 2016. http://www.theses.fr/2016TOUL0010/document.

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Cette thèse aborde deux sujets de recherches, le premier est sur l’existence et l’unicité des solutions des Équations Différentielles Doublement Stochastiques Rétrogrades (EDDSRs) et les Équations aux Dérivées partielles Stochastiques (EDPSs) multidimensionnelles à croissance surlinéaire. Le deuxième établit l’existence d’un contrôle optimal strict pour un système controlé dirigé par des équations différentielles stochastiques progressives rétrogrades (EDSPRs) couplées dans deux cas de diffusions dégénérée et non dégénérée.• Existence et unicité des solutions des EDDSRs multidimensionnels :Nou

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28

AIRES, José Fernando Leite. "Sobre existência e não-existência de soluções para problemas elípticos que envolvem um operador não-linear do tipo Timoshenko." Universidade Federal de Campina Grande, 2004. http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/1106.

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Submitted by Johnny Rodrigues (johnnyrodrigues@ufcg.edu.br) on 2018-07-05T18:49:14Z No. of bitstreams: 1 JOSÉ FERNANDO LEITE AIRES - DISSERTAÇÃO PPGMAT 2004..pdf: 619280 bytes, checksum: fd21b35d13e1bed399affca7c1d08370 (MD5)<br>Made available in DSpace on 2018-07-05T18:49:14Z (GMT). No. of bitstreams: 1 JOSÉ FERNANDO LEITE AIRES - DISSERTAÇÃO PPGMAT 2004..pdf: 619280 bytes, checksum: fd21b35d13e1bed399affca7c1d08370 (MD5) Previous issue date: 2004-03<br>Capes<br>Para visualização completa do resumo recomendamos o download do arquivo, uma vez que o mesmo possui fórmulas de equações que não f

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29

Dao, Tuan Anh [Verfasser], Michael [Gutachter] Reissig, Michael [Akademischer Betreuer] Reissig, Marcelo [Gutachter] Ebert, and Rainer [Gutachter] Picard. "Global in time existence of Sobolev solutions to semi-linear damped sigma-evolution equations in L^q scales / Tuan Anh Dao ; Gutachter: Michael Reissig, Marcelo Ebert, Rainer Picard ; Betreuer: Michael Reissig." Freiberg : TU Bergakademie Freiberg, 2020. http://d-nb.info/1220779717/34.

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30

ARAÚJO, Rawlilson de Oliveira. "Sobre soluções de equações diferenciais parciais elípticas não-lineares em um toro bidimensional." Universidade Federal de Campina Grande, 2009. http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/1208.

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Submitted by Johnny Rodrigues (johnnyrodrigues@ufcg.edu.br) on 2018-07-22T13:53:26Z No. of bitstreams: 1 RAWLILSON DE OLIVEIRA ARAÚJO - DISSERTAÇÃO PPGMAT 2009..pdf: 634807 bytes, checksum: ac58493ea191b2c179670c3c138a40f4 (MD5)<br>Made available in DSpace on 2018-07-22T13:53:26Z (GMT). No. of bitstreams: 1 RAWLILSON DE OLIVEIRA ARAÚJO - DISSERTAÇÃO PPGMAT 2009..pdf: 634807 bytes, checksum: ac58493ea191b2c179670c3c138a40f4 (MD5) Previous issue date: 2009-02<br>CNPq<br>O resumo foi escrito utilizando formulas e equações matemáticas e por este motivo não fora possível transcreve-lo aqui.

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31

Eslick, John. "A Dynamical Study of the Evolution of Pressure Waves Propagating through a Semi-Infinite Region of Homogeneous Gas Combustion Subject to a Time-Harmonic Signal at the Boundary." ScholarWorks@UNO, 2011. http://scholarworks.uno.edu/td/1367.

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In this dissertation, the evolution of a pressure wave driven by a harmonic signal on the boundary during gas combustion is studied. The problem is modeled by a nonlinear, hyperbolic partial differential equation. Steady-state behavior is investigated using the perturbation method to ensure that enough time has passed for any transient effects to have dissipated. The zeroth, first and second-order perturbation solutions are obtained and their moduli are plotted against frequency. It is seen that the first and second-order corrections have unique maxima that shift to the right as the frequen

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32

Nogueira, Ariadne. "Integrais concentradas na fronteira e aplicações para problemas elípticos semilineares." Universidade de São Paulo, 2017. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-06122017-104037/.

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Neste trabalho estudamos propriedades de integrais concentradas, ou seja, integrais cujo integrando atua apenas em uma vizinhança do domínio em questão. Tais termos são utilizados para conhecer o comportamento do integrando em regiões cuja medida de Lebesgue se aproxima de zero quando um parâmetro tende a zero. Ilustraremos estes resultados abstratos através de duas aplicações, ambas em domínios Lipschitz de R2, onde adicionamos um termo de concentração em problemas semilineares elípticos: domínio com fronteira oscilante que tende a um domínio limite fixo; e domínio do tipo fino com fronteira

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33

Monteiro, Evandro 1982. "Multiplicidade de soluções para equação de quarta ordem." [s.n.], 2011. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306960.

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Orientador: Djairo Guedes de Figueiredo<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica<br>Made available in DSpace on 2018-08-18T23:11:17Z (GMT). No. of bitstreams: 1 Monteiro_Evandro_D.pdf: 681089 bytes, checksum: 5ec4729a2d7b386329193adf424f6b42 (MD5) Previous issue date: 2011<br>Resumo: O resumo, na íntegra, poderá ser visualizado no texto completo da tese digital<br>Abstract: The complete abstract is available with the full electronic digital thesis or dissertations<br>Doutorado<br>Matematica<br>Doutor em Matemática

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Fernández, Sánchez Antonio J. "Existence et multiplicité de solutions pour des problèmes elliptiques avec croissance critique dans le gradient." Thesis, Valenciennes, 2019. http://www.theses.fr/2019VALE0020/document.

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Dans cette thèse, nous donnons des résultats d’existence, de non-existence, d’unicité et de multiplicité de solutions pour des équations aux dérivées partielles avec croissance critique dans le gradient. Les principales méthodes utilisées dans nos preuves sont des arguments variationnels, la théorie des sous et sur-solutions, des estimations à priori et la théorie de la bifurcation. La thèse se compose de six chapitres. Dans le chapitre 0 nous introduisons le sujet de thèse et nous présentons les résultats principaux. Le chapitre 1 porte sur l’´étude d’une équation du type p-Laplacien avec cro

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Yu, Haofeng. "A Numerical Investigation Of The Canonical Duality Method For Non-Convex Variational Problems." Diss., Virginia Tech, 2011. http://hdl.handle.net/10919/29095.

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This thesis represents a theoretical and numerical investigation of the canonical duality theory, which has been recently proposed as an alternative to the classic and direct methods for non-convex variational problems. These non-convex variational problems arise in a wide range of scientific and engineering applications, such as phase transitions, post-buckling of large deformed beam models, nonlinear field theory, and superconductivity. The numerical discretization of these non-convex variational problems leads to global minimization problems in a finite dimensional space. The primary goa

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36

Fougeirol, Jérémie. "Structure de variété de Hilbert et masse sur l'ensemble des données initiales relativistes faiblement asymptotiquement hyperboliques." Thesis, Avignon, 2017. http://www.theses.fr/2017AVIG0417/document.

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La relativité générale est une théorie physique de la gravitation élaborée il y a un siècle, dans laquelle l'univers est modélisé par une variété Lorentzienne (N,gamma) de dimension 4 appelée espace-temps et vérifiant les équations d'Einstein. Lorsque l'on sépare la dimension temporelle des trois dimensions spatiales, les équations de contrainte découlent naturellement de la décomposition 3+1 des équations d'Einstein. Elles constituent une condition nécessaire et suffisante pour pouvoir considérer l'espace-temps N comme l'évolution temporelle d'une hypersurface Riemannienne (m,g) plongée dans

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Heinz, Sebastian. "Preservation of quasiconvexity and quasimonotonicity in polynomial approximation of variational problems." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, 2008. http://dx.doi.org/10.18452/15808.

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Die vorliegende Arbeit beschäftigt sich mit drei Klassen ausgewählter nichtlinearer Probleme, die Forschungsgegenstand der angewandten Mathematik sind. Diese Probleme behandeln die Minimierung von Integralen in der Variationsrechnung (Kapitel 3), das Lösen partieller Differentialgleichungen (Kapitel 4) und das Lösen nichtlinearer Optimierungsaufgaben (Kapitel 5). Mit deren Hilfe lassen sich unterschiedlichste Phänomene der Natur- und Ingenieurwissenschaften sowie der Ökonomie mathematisch modellieren. Als konkretes Beispiel werden mathematische Modelle der Theorie elastischer Festkörper betrac

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Dora, Seleši. "Uopšteni stohastički procesi u beskonačno-dimenzionalnim prostorima sa primenama na singularne stohastičke parcijalne diferencijalne jednačine." Phd thesis, Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu, 2007. https://www.cris.uns.ac.rs/record.jsf?recordId=6018&source=NDLTD&language=en.

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Doktorska disertacija je posvećena raznim klasama uop&scaron;tenih stohastičkih procesa i njihovim primenama na re&scaron;avanje singularnih stohastičkih parcijalnih diferencijalnih jednačina. U osnovi, disertacija se može podeliti na dva dela. Prvi deo disertacije (Glava 2) je posvećen strukturnoj karakterizaciji uop&scaron;tenih stohastičkih procesa u vidu haos ekspanzije i integralne reprezentacije. Drugi deo disertacije (Glava 3) čini primena dobijenih rezultata na re·savanje stohastičkog Dirihleovog problema u kojem se množenje modelira Vikovim proizvodom, a koefcijenti eliptičnog

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Ibaouene, Youcef. "Processus Weyl presque périodique et équations différentielles stochastiques." Thesis, Normandie, 2019. http://www.theses.fr/2019NORMR120.

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La thèse est dédiée à l'étude de certaines équations différentielles à coefficients Weyl presque périodiques. Elle contient deux parties essentielles : La première partie est consacrée à des problèmes déterministes. On y étudie l'existence et l'unicité d'une solution mild bornée Weyl presque périodique pour l'équation différentielle linéaire abstraite u’ (t) = Au(t) + f(t); t ∈ R; dans un espace de Banach X, où A : D(A) ⊂ X → X est un opérateur linéaire (non borné) qui génère un C0-semi-groupe exponentiellement stable et f : R → X est une fonction Weyl presque périodique. Finalement, toujours

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Bringmann, Philipp. "Adaptive least-squares finite element method with optimal convergence rates." Doctoral thesis, Humboldt-Universität zu Berlin, 2021. http://dx.doi.org/10.18452/22350.

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Die Least-Squares Finite-Elemente-Methoden (LSFEMn) basieren auf der Minimierung des Least-Squares-Funktionals, das aus quadrierten Normen der Residuen eines Systems von partiellen Differentialgleichungen erster Ordnung besteht. Dieses Funktional liefert einen a posteriori Fehlerschätzer und ermöglicht die adaptive Verfeinerung des zugrundeliegenden Netzes. Aus zwei Gründen versagen die gängigen Methoden zum Beweis optimaler Konvergenzraten, wie sie in Carstensen, Feischl, Page und Praetorius (Comp. Math. Appl., 67(6), 2014) zusammengefasst werden. Erstens scheinen fehlende Vorfaktoren proport

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Pace, Michele. "Stochastic models and methods for multi-object tracking." Phd thesis, Université Sciences et Technologies - Bordeaux I, 2011. http://tel.archives-ouvertes.fr/tel-00651396.

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La poursuite multi-cibles a pour objet le suivi d'un ensemble de cibles mobiles à partir de données obtenues séquentiellement. Ce problème est particulièrement complexe du fait du nombre inconnu et variable de cibles, de la présence de bruit de mesure, de fausses alarmes, d'incertitude de détection et d'incertitude dans l'association de données. Les filtres PHD (Probability Hypothesis Density) constituent une nouvelle gamme de filtres adaptés à cette problématique. Ces techniques se distinguent des méthodes classiques (MHT, JPDAF, particulaire) par la modélisation de l'ensemble des cibles comm

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Naceur, Nahed. "Une méthode de décomposition de domaine pour la résolution numérique d’une équation non-linéaire." Electronic Thesis or Diss., Université de Lorraine, 2020. http://www.theses.fr/2020LORR0149.

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Cette thèse porte sur l’analyse théorique et la résolution numérique d’un type d’équations semi-linéaires elliptiques et paraboliques. Ces équations sont souvent utilisées pour modéliser des phénomènes dans la dynamique de la population et les réactions chimiques. On a commencé cette thèse par l’étude théorique d’une équation elliptique semi-linéaire dont on a démontré l’existence d’une solution faible non négative sous des hypothèses plus générale que celles considérées dans des précédents travaux. Puis on a présenté une nouvelle méthode basée sur la méthode de Newton et la méthode de décompo

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Shih, Yi-Wen, and 施逸文. "Existence and Multiplicity of Solutions for Semi-linear Elliptic Equations." Thesis, 1999. http://ndltd.ncl.edu.tw/handle/18903138654509963764.

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博士<br>國立交通大學<br>應用數學系<br>87<br>In part 1 we study the problem of symmetry-breaking of positive symmetric solutions of a semi-linear elliptic equation on finite cylinders with mixed type boundary conditions in two dimentions. Taking the length as a bifurcation parameter, we prove that there are asymmetric bifurcations at certain critical numbers, and obtain some global results. In part 2 we consider some semi-linear elliptic equations with asymptotic linear non-linearity and show the existence, uniqueness, and asymptotic behavior of these solutions.

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LI, MING-JIA, and 李明嘉. "Positive radial solutions and nonradial bifurcation for semi-linear elliptic equations in annuli and balls." Thesis, 1991. http://ndltd.ncl.edu.tw/handle/80644115468145217628.

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FANG, YONG-FU, and 方永富. "On the existence of positive solution of a semi-linear elliptic equation in Rn." Thesis, 1990. http://ndltd.ncl.edu.tw/handle/96836506811198324985.

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Lin, Tien-Chin, and 林添進. "On Asymptotic-linear Elliptic Equations." Thesis, 1994. http://ndltd.ncl.edu.tw/handle/78185335271855639321.

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碩士<br>國立交通大學<br>應用數學研究所<br>82<br>In this thesis we consider asymptotic-linear semilinear partial differential equations and prove the existence, some partial results of uniqueness and asymptotic behavior of solutions.

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Yao, Wen Wen, and 姚文雯. "Topics on Linear Elliptic Equations." Thesis, 2007. http://ndltd.ncl.edu.tw/handle/56421790757016810101.

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碩士<br>國立交通大學<br>應用數學系所<br>95<br>We study the linear elliptic partial differential equations ( linear elliptic PDEs ). First, we give some practical examples and show that they are governed by such type of the equations. Next, we apply several classical methods to solve the linear elliptic PDEs with the solutions being expressed in various forms. We then identify those solutions. When we apply Fourier transformations to the whole- and half-line PDEs, it is necessary to perform the inverse Fourier transformations to derive the PDE solutions, and it is quite often that those integrals involv

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Huang, Jui-Yi, and 黃瑞毅. "Topics on Linear Elliptic Partial Differential Equations." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/10518062886506309099.

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碩士<br>國立交通大學<br>應用數學系所<br>97<br>The aim of this paper is to investigate several classical methods and applications of the linear elliptic partial differential equations. First, a practical example is given based on the Laplace’s equation for the electrostatic potential, and is solved by Finite element method. Secondly, classical solving techniques are introduced, such as separation of variables in different domains, and Fourier transforms in both finite and infinite domains. At last, numerical Finite difference method is introduced to solve the Laplace’s equation on a square with nonhomogeneou

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Tang, Shaowu. "Multiscale and geometric methods for linear elliptic and parabolic partial differential equations /." 2005. http://www.jacobs-university.de/phd/files/1121864591.pdf.

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章筑嫻. "Numerical Investigation for the Bifurcation Problems of Semi-linear Elliptic Eigenvalue Problems." Thesis, 2006. http://ndltd.ncl.edu.tw/handle/80157619727892905624.

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碩士<br>國立新竹教育大學<br>人資處數學教育碩士班<br>95<br>In this paper, we use the central difference method, tangent predictor, Newton iterative method, implicit function theorem, Secant Predictor , finite dimensional Liapunov-Schmidt reduction method and pseudo-arclength continuation method to obtain the solution path of the semi-linear elliptic eigenvalue problems. The pseudo-arclength continuation can pass through turning points and bifurcation points to continue all solution. We investigate the existence of multiple solutions of two semi-linear systems of elliptic eigenvalue equations and analyze the behavi

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